Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 628, 851, 711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 851, 711 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 628, 851, 711 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 628, 851, 711 is 1.
HCF(628, 851, 711) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 851, 711 is 1.
Step 1: Since 851 > 628, we apply the division lemma to 851 and 628, to get
851 = 628 x 1 + 223
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 223 and 628, to get
628 = 223 x 2 + 182
Step 3: We consider the new divisor 223 and the new remainder 182, and apply the division lemma to get
223 = 182 x 1 + 41
We consider the new divisor 182 and the new remainder 41,and apply the division lemma to get
182 = 41 x 4 + 18
We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get
41 = 18 x 2 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 628 and 851 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(182,41) = HCF(223,182) = HCF(628,223) = HCF(851,628) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 711 > 1, we apply the division lemma to 711 and 1, to get
711 = 1 x 711 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 711 is 1
Notice that 1 = HCF(711,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 628, 851, 711?
Answer: HCF of 628, 851, 711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 851, 711 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 851, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.